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Finding the Third Proportional to 673,785 and 1,446,147

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Solution

The third proportional to 673,785 and 1,446,147 is: 3,103,870.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,785 : 1,446,147 = 1,446,147 : x
  2. Step 2: Convert to fraction form
    673,785/1,446,147 = 1,446,147/x
  3. Step 3: Cross multiply
    673,785x = 1,446,147 × 1,446,147
  4. Step 4: Simplify right side
    673,785x = 2,091,341,145,609
  5. Step 5: Solve for x
    x = 2,091,341,145,609/673,785
  6. Step 6: Final answer
    x = 3,103,870.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.